Answer:
-108
Step-by-step explanation:
just multiply the numbers. it will be negative because there is odd number of negative sign so the profuct would be negative
This is kind of a trick question.
Translation is moving an object a certain distance. The original object and its translation have the same shape and size.
Answer: B ) Angle A´ = 110°
Answer:
The probability it will land on green every time is
.
Step-by-step explanation:
We are given that a spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow.
The pointer is spun three times.
<u>As we know that the probability of an event is described as;</u>
Probability of an event =
Here, the favorable outcome is that the spinner will land on green every time.
So, the number of green regions = 2
Total number of regions = 3(red) + 2(green) + 1(yellow) = 6 regions
<em>Now, the probability it will land on green every time is given by;</em>
Probability =
=
= ![\frac{1}{27}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B27%7D)
Hence, the probability it will land on green every time is
.
Answer:
0.11069
Step-by-step explanation:
We will assume that the trains pass by his house following a uniform distribution with values between 0 and 24. The probability of a train passing on a 9-hour time period is 9/24 = 3/8 = 0.375. Lets call Y the amount of trains passing by his house during that 9-hour period. Y follows a Binomail distribution with parameters 22 and 0.375.
P(Y ≤ 5) = P(Y = 0) + P(Y=1) + P(Y=2) + P(Y=3) + P(Y=4) + P(Y=5) =
![{22 \choose 0} * 0.375^0*(1-0.375)^{22} + {22 \choose 1}*0.375^1*(1-0.375)^{21} +\\\\{22 \choose 2} * 0.375^2*(1-0.375)^{20} + {22 \choose 3}*0.375^3*(1-0.375)^{19} + \\{22 \choose 4} * 0.375^4*(1-0.375)^{18} + {22 \choose 5}*0.375^5*(1-0.375)^{17} = 0.11069](https://tex.z-dn.net/?f=%7B22%20%5Cchoose%200%7D%20%2A%200.375%5E0%2A%281-0.375%29%5E%7B22%7D%20%2B%20%7B22%20%5Cchoose%201%7D%2A0.375%5E1%2A%281-0.375%29%5E%7B21%7D%20%2B%5C%5C%5C%5C%7B22%20%5Cchoose%202%7D%20%2A%200.375%5E2%2A%281-0.375%29%5E%7B20%7D%20%2B%20%7B22%20%5Cchoose%203%7D%2A0.375%5E3%2A%281-0.375%29%5E%7B19%7D%20%20%2B%20%5C%5C%7B22%20%5Cchoose%204%7D%20%2A%200.375%5E4%2A%281-0.375%29%5E%7B18%7D%20%2B%20%7B22%20%5Cchoose%205%7D%2A0.375%5E5%2A%281-0.375%29%5E%7B17%7D%20%3D%200.11069)
I hope that works for you!
For a problem 1 the answer is 3×6+6×9.
for a problem 3 the answer is 9×10+8×7
for problem 4 the answer is 4×8+8×4+8×4.